2017 AMC 8 Problems/Problem 1

Problem 1

Which of the following values is largest?

$\textbf{(A) }2+0+1+7\qquad\textbf{(B) }2 \times 0 +1+7\qquad\textbf{(C) }2+0 \times 1 + 7\qquad\textbf{(D) }2+0+1 \times 7\qquad\textbf{(E) }2 \times 0 \times 1 \times 7$

We will compute each expression. A) $2+0+1+7=10$ . B) $2 \times 0+1+7=8$ C) $2+0\times 1+7=9$ D) $2+0+1\times 7=9$ . E) $2\times 0\times 1 \times 7 =0$ Ordering these we get $10,8,9,9,0$ Out of these $10$ is the largest number. Option $(A)$ adds up to ten. Therefore, the answer is $\boxed{(A) 2+0+1+7}$

Solution 2

We immediately see that every one of the choices, except for A and D, has a number multiplied by $0$ . This will only make the expression's value smaller. We are left with A and D, but in D, $1$ is multiplied by $7$ to get $7$ , whereas in answer choice A, we get $8$ out of $7$ and $1$ , instead of $7$ . Therefore, $\boxed{(A) 2+0+1+7}$ is your answer.

2017 AMC 8 (Problems • Answer Key • Resources)
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All AJHSME/AMC 8 Problems and Solutions

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2017 AMC 8 Problems/Problem 1

Problem 1

Solution 2

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